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Finding the Third Proportional to 68,844.94 and 142,177.78

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Solution

The third proportional to 68,844.94 and 142,177.78 is: 293,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,844.94 : 142,177.78 = 142,177.78 : x
  2. Step 2: Convert to fraction form
    68,844.94/142,177.78 = 142,177.78/x
  3. Step 3: Cross multiply
    68,844.94x = 142,177.78 × 142,177.78
  4. Step 4: Simplify right side
    68,844.94x = 20,214,521,481.17
  5. Step 5: Solve for x
    x = 20,214,521,481.17/68,844.94
  6. Step 6: Final answer
    x = 293,623.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.